few_shots: Example:
Problem/activity:
Narrative
The purpose of this activity is for students to create composite shapes and compose new shapes from composite shapes. For example, students may find that a rectangular prism can be made from four triangular prisms or from eight smaller cubes. Students then discover that they can combine two of the composed rectangular prisms to make a new rectangular prism.
Required Materials
Materials to Gather
Geoblocks
Launch
Groups of 4
Give each group geoblocks.
Display a large cube.
“This cube can be built from other shapes. See how many ways you can build a cube using other shapes.”
3 minutes: partner work time
Share responses.
Activity
“Choose a different shape. Try to find smaller shapes you can use to build that shape.”
5 minutes: partner work time
Student Response
Teachers with a valid work email address can
click here to register or sign in
for free access to Student Response.
Activity Synthesis
Display a cube and a composite cube—for example, a cube composed of four small cubes and one rectangular prism.
Demonstrate putting the shapes together.
“What new shape did I make with the cube and the cube I made?”
“Put your shapes together to make a rectangular prism.”
Display a rectangular prism and two triangular prisms.
“Find these shapes. Put them together. What new shape can you make?” (a cube, a rectangular block)


Mathematical concept/skill options: 
A. Reason with shapes and their attributes.
B. Understand similarity in terms of similarity transformations.
C. Use coordinates to prove simple geometric theorems algebraically.
D. Translate between the geometric description and the equation for a conic section.
E. Understand congruence and similarity using physical models, transparencies, or geometry software.
F. Analyze, compare, create, and compose shapes.
G. Identify and describe shapes (squares, circles, triangles, rectangles, hexagons, cubes, cones, cylinders, and spheres).
H. Understand congruence in terms of rigid motions.
I. Classify two-dimensional figures into categories based on their properties.
J. Draw, construct, and describe geometrical figures and describe the relationships between them.
K. Explain volume formulas and use them to solve problems.
L. Prove theorems involving similarity.
M. Prove geometric theorems.
N. Solve real-life and mathematical problems involving angle measure, area, surface area, and volume.
O. Define trigonometric ratios and solve problems involving right triangles.
P. Apply trigonometry to general triangles.
Q. Visualize relationships between two-dimensional and three-dimensional objects.
R. Draw and identify lines and angles, and classify shapes by properties of their lines and angles.
S. Make geometric constructions.
T. Apply geometric concepts in modeling situations.
U. Solve real-world and mathematical problems involving area, surface area, and volume.
V. Graph points on the coordinate plane to solve real-world and mathematical problems.
W. Solve real-world and mathematical problems involving volume of cylinders, cones, and spheres.
X. Understand and apply theorems about circles.
Y. Understand and apply the Pythagorean Theorem.
Z. Experiment with transformations in the plane.
AA. Find arc lengths and areas of sectors of circles.


Thought: This activity asks students to reason how shapes can combine to make other shapes.
Answer: A

Now, assign the following problem or activity to one or more relevant mathematical concepts/skills it teaches.
shot_info: im_lesson_009431

1
options: Solve problems involving measurement and estimation of intervals of time, liquid volumes, and masses of objects.

Geometric measurement: understand concepts of area and relate area to multiplication and to addition.

Geometric measurement: understand concepts of angle and measure angles.

Convert like measurement units within a given measurement system.

Measure lengths indirectly and by iterating length units.

Classify objects and count the number of objects in each category.

Tell and write time.

Relate addition and subtraction to length.

Work with time and money.

Measure and estimate lengths in standard units.

Geometric measurement: recognize perimeter as an attribute of plane figures and distinguish between linear and area measures.

Represent and interpret data.

Geometric measurement: understand concepts of volume and relate volume to multiplication and to addition.

Solve problems involving measurement and conversion of measurements from a larger unit to a smaller unit.

Describe and compare measurable attributes.
problem_activity: Narrative
The purpose of this activity is for students to interpret a scaled picture graph and write questions that can be asked based on the data represented in a scaled picture graph.
MLR8 Discussion Supports.
Use multimodal examples to show the meaning of a symbol. Use verbal descriptions along with gestures, drawings, or concrete objects to show how each flower on the graph is a symbol that represents five flowers that were seen in the park.
Advances: Listening, Representing
Representation: Internalize Comprehension.
Synthesis
:
Invite students to identify which details were needed to solve the problem. Display the sentence frame, “The next time I read a scaled picture graph I will pay attention to . . . .“
Supports accessibility for: Conceptual Processing
Launch
Groups of 2
Display the graphs for all to see.
“What are some strategies you could use to read the graphs?” (In the Flowers I Saw on the Way Home graph I could count each category by 5 since each picture represents 5 flowers.)
1 minute: quiet think time
Share and record responses.
Activity
“Now, we’re going to answer some questions about the scaled picture graphs. You will also have a chance to write your own question that can be asked based on each graph.”
8–10 minutes: partner work time
If there is time, have groups trade books and answer each other’s questions.
Math Community: As students work, monitor for examples of the “Doing Math” actions.
Student Facing
Andre collected data to see how many of each type of flower he saw on the way home. The data is shown in this picture graph:
[IMG]
How many of each type of flower did Andre see on the way home?
roses _____
tulips _____
daisies _____
violets _____
Write 2 questions that you could ask about the flowers Andre saw on his way home.
A group of students were asked, “What is your favorite type of book?” Their responses are shown in this picture graph:
[IMG]
How many students liked each type of book? How do you know?
Write 2 questions that you could ask about students’ favorite types of books based on the graph.
Student Response
Teachers with a valid work email address can
click here to register or sign in
for free access to Student Response.
Advancing Student Thinking
If students answer questions about the graph with numbers that don’t match the graph, consider asking:
“How did you answer the questions about the graph?”
“What does the key tell us about each picture in the graph?”
Activity Synthesis
Have students share responses to the questions they answered and explain their reasoning.
Consider asking:
“How did you use the scale to answer the questions?” (I counted by the number that each picture represented, like by 5 for the flowers and by 2 for the students.)
Share a variety of student written questions.
Consider asking:
“How did you know your question could be answered with the graph?” (The data you needed to answer the question was in the graph.)
If time ask, “What questions cannot be answered by this graph?” (How many students' favorite type of book is graphic novels?)


correct_option_index: 11